Answer: at most 15 pairs of socks
Step-by-step explanation:
Let the number of pair of socks of her sister be
, and let the number of pairs Lucy has be
.
Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that
.............................. equation 1
Also , Lucy has at most 9 pairs of socks , this means that
....................................... equation 2
Equating the two equations , we have

multiply through by 3

subtract 12 from both sides

Therefore , the sister has at most 15 pairs of socks
37.1
Hope this helps a lot!!
Answer:
p hat≈N(0.34,0.0273)
Step-by-step explanation:
Given information p=0.34
Number of random samples=300
The sampling distribution of p hat is
p∧≈N(0.34,\sqrt{\frac{0.34(1-0.34)}{300}})
≈N(0.34,0.0273)
i) The given function is

The domain is all real values except the ones that will make the denominator zero.



The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.



iii) If we equate the numerator to zero, we get;


This implies that;

iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is
.
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
Answer:
No it is not
Step-by-step explanation:
well if you see any number that is could be written as a fraction is rational. square root of 9 is 3, but in this case the square root of 2 is irrational, so it is a irrational number.